Question
Find \( f(1) \) for the piece-wise function. \( f(x)=\left\{\begin{array}{ll}x & \text { if } x \leq 0 \\ x+1 & \text { if } x>0\end{array}\right. \) \( f(1)=[?] \)
Ask by Davey Robbins. in the United States
Feb 04,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( f(1) = 2 \)
Solution
Para encontrar \( f(1) \) para la función definida por partes:
\[
f(x) = \begin{cases}
x & \text{si } x \leq 0 \\
x + 1 & \text{si } x > 0
\end{cases}
\]
Dado que \( 1 > 0 \), utilizamos la segunda parte de la función:
\[
f(1) = 1 + 1 = 2
\]
**Respuesta:** \( f(1) = 2 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To find \( f(1) \) for the given piecewise function, we first need to look at the conditions specified. Since \( 1 > 0 \), we will use the second piece of the function, which is \( f(x) = x + 1 \). Substituting \( 1 \) into the equation, we get: \[ f(1) = 1 + 1 = 2 \] Therefore, \( f(1) = 2 \).
